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Theory and method of optimal control solution to dynamic system parameters identification (I) —Fundamental concept and deterministic system parameters identification

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Abstract

Based on the concept of optimal control solution to dynamic system parameters identification and the optimal control theory of deterministic system, dynamics system parameters identification problem is brought into correspondence with optimal control problem. Then the theory and algorithm of optimal control are introduced into the study of dynamic system parameters identification. According to the theory of Hamilton-Jacobi-Bellman (HJB) equations' solution, the existence and uniqueness of optimal control solution to dynamic system parameters identification are resolved in this paper. At last the parameters identification algorithm of determi-nistic dynamic system is presented also based on above mentioned theory and concept.

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Authors and Affiliations

  1. Harbin Institute of Technology, 150001, Harbin, P R China

    Wu Zhigang & Wang Benli

  2. Chinese Academy of Space Technology, 100081, Beijing, P R China

    Ma Xingrui

Authors
  1. Wu Zhigang
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  2. Wang Benli
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  3. Ma Xingrui
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Additional information

Project supported by the National, Defence Science and Technology Foundation (A966000-50) and the Across Century Scientist Foundation from the State Education Commission of China

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Zhigang, W., Benli, W. & Xingrui, M. Theory and method of optimal control solution to dynamic system parameters identification (I) —Fundamental concept and deterministic system parameters identification. Appl Math Mech 20, 135–142 (1999). https://doi.org/10.1007/BF02481892

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  • DOI: https://doi.org/10.1007/BF02481892

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